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Finding the Fourth Proportional to 4,357.60, 6,520.40 and 3,205.60

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Solution

The fourth proportional to 4,357.60, 6,520.40 and 3,205.60 is: 4,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.60 : 6,520.40 = 3,205.60 : x
  2. Step 2: Convert to fraction form
    4,357.60/6,520.40 = 3,205.60/x
  3. Step 3: Cross multiply
    4,357.60x = 6,520.40 × 3,205.60
  4. Step 4: Simplify right side
    4,357.60x = 20,901,794.24
  5. Step 5: Solve for x
    x = 20,901,794.24/4,357.60
  6. Step 6: Final answer
    x = 4,796.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.